Concepedia

Eigenvalue Algorithms

Eigenvalue Algorithms is a class of numerical methods designed to compute eigenvalues and associated eigenvectors of a matrix by iteratively transforming or decomposing the matrix to reveal its spectral properties.

2.9K

Publications

193.6K

Citations

4.2K

Authors

1.4K

Institutions

Publications per year

2017–2026

276

Parents

Publications

2.9K

On Spectral Clustering: Analysis and an algorithm

Andrew Y. Ng, Michael I. Jordan, Yair Weiss · 2001 · 7.8K citations

, , +10

A variational eigenvalue solver on a photonic quantum processor

Alberto Peruzzo, Jarrod R. McClean, Peter Shadbolt et al. · Nature Communications · 2014 · 4.6K citations · Full text

, , +17

An iteration method for the solution of the eigenvalue problem of linear differential and integral operators

Cornelius Lanczos · Journal of research of the National Bureau of Standards · 1950 · 4.4K citations · Full text

, , +16

The Geometry of Algorithms with Orthogonality Constraints

Alan Edelman, T. A. Arias, Steven T. Smith · SIAM Journal on Matrix Analysis and Applications · 1998 · 2.7K citations

, , +16

The iterative calculation of a few of the lowest eigenvalues and corresponding eigenvectors of large real-symmetric matrices

Ernest R. Davidson · Journal of Computational Physics · 1975 · 2.5K citations

, , +15

1–5 of 2.9K

Authors

4.2K

  1. GH
    Gene H. Golub

    Stanford University, United States

    27 publications · 6.5K citations

    21

    h-index

  2. JD
    James Demmel

    University of California, Berkeley, United States

    24 publications · 2.2K citations

    19

    h-index

  3. KM
    Karl Meerbergen

    KU Leuven, Belgium

    23 publications · 2.4K citations

    19

    h-index

  4. BΝ
    Beresford Ν. Parlett

    University of California, Berkeley, United States

    24 publications · 1.9K citations

    19

    h-index

  5. DS
    David S. Watkins

    Washington State University, United States

    27 publications · 2.2K citations

    18

    h-index

1–5 of 4.2K

Institutions

1.4K

  1. University of California, Berkeley

    Berkeley, United States

    29 h-index

    73 publications

    20.6K citations

  2. Massachusetts Institute of Technology

    Cambridge, United States

    24 h-index

    47 publications

    10.9K citations

  3. KU Leuven

    Leuven, Belgium

    21 h-index

    73 publications

    2.7K citations

  4. Stanford University

    Stanford, United States

    20 h-index

    45 publications

    4K citations

  5. Chinese Academy of Sciences

    Beijing, China

    20 h-index

    45 publications

    2K citations

  6. Northern Illinois University

    DeKalb, United States

    19 h-index

    24 publications

    1.4K citations

  7. Hong Kong Polytechnic University

    Hong Kong, Hong Kong

    18 h-index

    31 publications

    1.4K citations

  8. Academy of Mathematics and Systems Science

    Beijing, China

    17 h-index

    25 publications

    1.5K citations

1–8 of 1.4K

Venues

  1. SIAM Journal on Matrix Analysis and Applications

    215 publications · 15.3K citations

    55

    h-index

  2. Linear Algebra and its Applications

    153 publications · 7.6K citations

    43

    h-index

  3. SIAM Journal on Scientific Computing

    101 publications · 6.6K citations

    42

    h-index

  4. Mathematics of Computation

    MCOM · 68 publications · 7.4K citations

    35

    h-index

  5. IEEE Transactions on Signal Processing

    51 publications · 5.3K citations

    33

    h-index

1–5